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Finding the Fourth Proportional to 5,383.50, 8,070.90 and 1,683.83

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Solution

The fourth proportional to 5,383.50, 8,070.90 and 1,683.83 is: 2,524.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,383.50 : 8,070.90 = 1,683.83 : x
  2. Step 2: Convert to fraction form
    5,383.50/8,070.90 = 1,683.83/x
  3. Step 3: Cross multiply
    5,383.50x = 8,070.90 × 1,683.83
  4. Step 4: Simplify right side
    5,383.50x = 13,590,023.55
  5. Step 5: Solve for x
    x = 13,590,023.55/5,383.50
  6. Step 6: Final answer
    x = 2,524.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.